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Question: 1 liam made a 3 3 target on a...

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1. Liam made a 3 × 3 target on a 10 × 10 dartboard.

What is the probability that a dart will hit Liam's target?

93%

9%

3%

30%

2. Darts are thrown at random at each dartboard. Find the probability that the dart will land in the shaded region. Write your answer as a percent.

A regular pentagon divided into fifths. Two of the regions are shaded.

________________________

3. Darts are thrown at random at each dartboard. Find the probability that the dart will land in the shaded region. Write your answer as a decimal.

A circle with a shaded sector. The sector has a central anngle measuring 150 degrees.

4. Darts are thrown at random at each dartboard. Find the probability that the dart will land in the shaded region. Write your answer as a decimal.

A shaded equilateral triangle with side length 10 inside a square with side length 20.

  

5.. Olivia made a 6 × 6 target on a 10 × 10 dartboard. She said that the probability of a dart landing in her target area would be twice as great as the probability that a dart will land in Liam's target area. Do you agree?

Yes; the dartboard is identical to Liam's but scaled up by a factor of two

No; Olivia’s target area will be 4 times Liam’s target area, so the hit probability will be 4 times as great

Yes; the area of the target is twice as big, so the probability of a hit is twice as much

No; Olivia's reasoning is not taking into account the diminished non-target area

  

.

6. A spinner (shown) with the numbers from 1 to 12 is spun once. What is the probability that the result is an even number?
3 2 7 2

75%

25%

1/2

3/12

7. What is the probability that the result is a prime number?

1/12

5/12

50%

66 2/3%

8. What is the probability that the number is less than 13? _____________

9. What is the probability that the number is a multiple of 5?

5/12

1/6

0

1/12


  

10. The members of the Math Club are designing dartboards. They experimented with different shapes. For which dartboard is the probability of hitting the bull's-eye the least? Note that the dartboards are not drawn to scale.

A shaded circle with radius 1 and one half inside a square with side length 12.

A shaded square with side length 3 inside a circle with radius 12.

A shaded right triangle with hypotenuse 5 and leg 3 inside an equilateral triangle with side length 12.

A shaded right triangle with hypotenuse 13 and leg 8 inside a circle with radius 12.

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